10606716507204 has 36 divisors (see below), whose sum is σ = 27735954087660. Its totient is φ = 3413655887040.

The previous prime is 10606716507193. The next prime is 10606716507209. The reversal of 10606716507204 is 40270561760601.

10606716507204 is a `hidden beast` number, since 1 + 0 + 60 + 67 + 1 + 6 + 507 + 20 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6875135714304 + 3731580792900 = 2622048^2 + 1931730^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10606716507204² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10606716507204.

It is not an unprimeable number, because it can be changed into a prime (10606716507209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5079844027 + ... + 5079846114.

Almost surely, 2^{10606716507204} is an apocalyptic number.

It is an amenable number.

10606716507204 is an abundant number, since it is smaller than the sum of its proper divisors (17129237580456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10606716507204 is a wasteful number, since it uses less digits than its factorization.

10606716507204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159690180 (or 10159690175 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10606716507204 in words is "ten trillion, six hundred six billion, seven hundred sixteen million, five hundred seven thousand, two hundred four".